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Finding the Fourth Proportional to 144,038.40, 198,693.12 and 84,410.88

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Solution

The fourth proportional to 144,038.40, 198,693.12 and 84,410.88 is: 116,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,038.40 : 198,693.12 = 84,410.88 : x
  2. Step 2: Convert to fraction form
    144,038.40/198,693.12 = 84,410.88/x
  3. Step 3: Cross multiply
    144,038.40x = 198,693.12 × 84,410.88
  4. Step 4: Simplify right side
    144,038.40x = 16,771,861,109.15
  5. Step 5: Solve for x
    x = 16,771,861,109.15/144,038.40
  6. Step 6: Final answer
    x = 116,440.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.